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16 April, 00:41

The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 - i, what is the voltage of the circuit? 4 - i

4 + i

8 + i

8 + 7i

+3
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  1. 16 April, 00:53
    0
    The voltage of the circuit is 8 + i

    Step-by-step explanation:

    ∵ E = IZ

    ∵ I = 3 + 2i

    ∵ Z = 2 - i

    ∴ E = (3 + 2i) (2 - i) = 6 - 3i + 4i - 2i²

    ∴ E = 6 + i - 2 (-1) ⇒ i² = - 1

    ∴ E = 6 + i + 2 = 8 + i
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